A CMOS nonlinear-map circuit array for threshold-coupled chaotic maps using pulse-modulation approach

Takashi Morie; Daisuke Atuti; Kazuki Ifuku; Yoshihiko Horio; Kazuyuki Aihara

doi:10.1109/ECCTD.2011.6043293

A CMOS nonlinear-map circuit array for threshold-coupled chaotic maps using pulse-modulation approach

Takashi Morie, Daisuke Atuti, Kazuki Ifuku, Yoshihiko Horio, Kazuyuki Aihara

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

2 Citations (Scopus)

Abstract

As one of adaptive lattice dynamics, a nonlinear dynamical model with threshold activated coupling has been proposed by S. Sinha since 1994. In this model, each lattice site performs an arbitrary nonlinear transformation and thresholding. The excess of an output over the threshold is transported to the neighboring lattice site(s). This dynamics generates various spatiotemporal patterns. S. Sinha, et al. have also proposed the applications of this model to computing using nonlinear dynamics. In this paper, we propose a CMOS LSI chip designed using a pulse modulation approach for this model. The chip includes 30x30 nonlinear-map element circuits, each of which corresponds to a lattice site. The measurement results using the fabricated LSI chip demonstrate that the designed circuit successfully performs arbitrary nonlinear transformation and thresholding.

Original language	English
Title of host publication	2011 20th European Conference on Circuit Theory and Design, ECCTD 2011
Pages	126-129
Number of pages	4
DOIs	https://doi.org/10.1109/ECCTD.2011.6043293
Publication status	Published - 2011 Nov 7
Externally published	Yes
Event	2011 20th European Conference on Circuit Theory and Design, ECCTD 2011 - Linkoping, Sweden Duration: 2011 Aug 29 → 2011 Aug 31

Publication series

Name	2011 20th European Conference on Circuit Theory and Design, ECCTD 2011

Other

Other	2011 20th European Conference on Circuit Theory and Design, ECCTD 2011
Country/Territory	Sweden
City	Linkoping
Period	11/8/29 → 11/8/31

ASJC Scopus subject areas

Hardware and Architecture
Electrical and Electronic Engineering

Access to Document

10.1109/ECCTD.2011.6043293

Cite this

Morie, T., Atuti, D., Ifuku, K., Horio, Y., & Aihara, K. (2011). A CMOS nonlinear-map circuit array for threshold-coupled chaotic maps using pulse-modulation approach. In 2011 20th European Conference on Circuit Theory and Design, ECCTD 2011 (pp. 126-129). [6043293] (2011 20th European Conference on Circuit Theory and Design, ECCTD 2011). https://doi.org/10.1109/ECCTD.2011.6043293

A CMOS nonlinear-map circuit array for threshold-coupled chaotic maps using pulse-modulation approach. / Morie, Takashi; Atuti, Daisuke; Ifuku, Kazuki; Horio, Yoshihiko; Aihara, Kazuyuki.

2011 20th European Conference on Circuit Theory and Design, ECCTD 2011. 2011. p. 126-129 6043293 (2011 20th European Conference on Circuit Theory and Design, ECCTD 2011).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Morie, T, Atuti, D, Ifuku, K, Horio, Y & Aihara, K 2011, A CMOS nonlinear-map circuit array for threshold-coupled chaotic maps using pulse-modulation approach. in 2011 20th European Conference on Circuit Theory and Design, ECCTD 2011., 6043293, 2011 20th European Conference on Circuit Theory and Design, ECCTD 2011, pp. 126-129, 2011 20th European Conference on Circuit Theory and Design, ECCTD 2011, Linkoping, Sweden, 11/8/29. https://doi.org/10.1109/ECCTD.2011.6043293

@inproceedings{a4f63f74fffa4eacb2e1d1f654649a6f,

title = "A CMOS nonlinear-map circuit array for threshold-coupled chaotic maps using pulse-modulation approach",

abstract = "As one of adaptive lattice dynamics, a nonlinear dynamical model with threshold activated coupling has been proposed by S. Sinha since 1994. In this model, each lattice site performs an arbitrary nonlinear transformation and thresholding. The excess of an output over the threshold is transported to the neighboring lattice site(s). This dynamics generates various spatiotemporal patterns. S. Sinha, et al. have also proposed the applications of this model to computing using nonlinear dynamics. In this paper, we propose a CMOS LSI chip designed using a pulse modulation approach for this model. The chip includes 30x30 nonlinear-map element circuits, each of which corresponds to a lattice site. The measurement results using the fabricated LSI chip demonstrate that the designed circuit successfully performs arbitrary nonlinear transformation and thresholding.",

author = "Takashi Morie and Daisuke Atuti and Kazuki Ifuku and Yoshihiko Horio and Kazuyuki Aihara",

year = "2011",

month = nov,

day = "7",

doi = "10.1109/ECCTD.2011.6043293",

language = "English",

isbn = "9781457706189",

series = "2011 20th European Conference on Circuit Theory and Design, ECCTD 2011",

pages = "126--129",

booktitle = "2011 20th European Conference on Circuit Theory and Design, ECCTD 2011",

note = "2011 20th European Conference on Circuit Theory and Design, ECCTD 2011 ; Conference date: 29-08-2011 Through 31-08-2011",

}

TY - GEN

T1 - A CMOS nonlinear-map circuit array for threshold-coupled chaotic maps using pulse-modulation approach

AU - Morie, Takashi

AU - Atuti, Daisuke

AU - Ifuku, Kazuki

AU - Horio, Yoshihiko

AU - Aihara, Kazuyuki

PY - 2011/11/7

Y1 - 2011/11/7

N2 - As one of adaptive lattice dynamics, a nonlinear dynamical model with threshold activated coupling has been proposed by S. Sinha since 1994. In this model, each lattice site performs an arbitrary nonlinear transformation and thresholding. The excess of an output over the threshold is transported to the neighboring lattice site(s). This dynamics generates various spatiotemporal patterns. S. Sinha, et al. have also proposed the applications of this model to computing using nonlinear dynamics. In this paper, we propose a CMOS LSI chip designed using a pulse modulation approach for this model. The chip includes 30x30 nonlinear-map element circuits, each of which corresponds to a lattice site. The measurement results using the fabricated LSI chip demonstrate that the designed circuit successfully performs arbitrary nonlinear transformation and thresholding.

AB - As one of adaptive lattice dynamics, a nonlinear dynamical model with threshold activated coupling has been proposed by S. Sinha since 1994. In this model, each lattice site performs an arbitrary nonlinear transformation and thresholding. The excess of an output over the threshold is transported to the neighboring lattice site(s). This dynamics generates various spatiotemporal patterns. S. Sinha, et al. have also proposed the applications of this model to computing using nonlinear dynamics. In this paper, we propose a CMOS LSI chip designed using a pulse modulation approach for this model. The chip includes 30x30 nonlinear-map element circuits, each of which corresponds to a lattice site. The measurement results using the fabricated LSI chip demonstrate that the designed circuit successfully performs arbitrary nonlinear transformation and thresholding.

UR - http://www.scopus.com/inward/record.url?scp=80155193174&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=80155193174&partnerID=8YFLogxK

U2 - 10.1109/ECCTD.2011.6043293

DO - 10.1109/ECCTD.2011.6043293

M3 - Conference contribution

AN - SCOPUS:80155193174

SN - 9781457706189

T3 - 2011 20th European Conference on Circuit Theory and Design, ECCTD 2011

SP - 126

EP - 129

BT - 2011 20th European Conference on Circuit Theory and Design, ECCTD 2011

T2 - 2011 20th European Conference on Circuit Theory and Design, ECCTD 2011

Y2 - 29 August 2011 through 31 August 2011

ER -

A CMOS nonlinear-map circuit array for threshold-coupled chaotic maps using pulse-modulation approach

Abstract

Publication series

Other

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this